Evaluation of Dynamic Spin Structure Factor for the Spin-1/2 XXZ Chain in a Magnetic Field(General)
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概要
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Transition rates and dynamic spin structure factor at zero temperature for the spin-1/2 XXZ chain at critical regime in a magnetic field are numerically evaluated in terms of the exact determinant representations for the form factors and norms of the Bethe eigenstates. We have seen that the transition rates converges toward the constant function with the value 1 in the limit Δ → 0. The observed critical exponent of the singularity at the lower boundary is compared with the one predicted from the comformal field theory. We confirm that they are in good agreement. Further we have discovered that a small peak emerges near the upper boundary in the line shape of S(q, w) for 0 < Δ < 1.
- 2004-11-15
著者
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SATO Jun
Institute for Solid State Physics, University of Tokyo
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Shiroishi Masahiro
Institute For Solid State Physics University Of Tokyo
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Takahashi Minoru
Institute For Solid Physics University Of Tokyo
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